David Harbater

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David Harbater
Born	(1952-12-19) December 19, 1952 (age 68) New York City, New York, US
Nationality	American
Alma mater	Harvard University (BA) Brandeis University (MA) MIT(PhD)
Known for	Proof of Abhyankar's conjecture
Awards	Cole Prize (1995)
Scientific career
Fields	Mathematics
Institutions	University of Pennsylvania
Doctoral advisor	Michael Artin
Doctoral students	Sybilla Beckmann Rachel Pries

David Harbater (born December 19, 1952) is an American mathematician at the University of Pennsylvania, well known for his work in Galois theory, algebraic geometry and arithmetic geometry.

Life and work[]

Harbater was born in New York City and attended Stuyvesant High School, where he was on the math team. After graduating in 1970, he entered Harvard University.

After graduating summa cum laude in 1974, Harbater earned a master's degree from Brandeis University and then a Ph.D. in 1978 from MIT, where he wrote a dissertation (Deformation Theory and the Fundamental Group in Algebraic Geometry) under the direction of Michael Artin.

In 1995, Harbater was awarded the Cole Prize for his solution, with Michel Raynaud, of the long outstanding Abhyankar conjecture. He has also solved the inverse Galois problem over ${\displaystyle \mathbb {Q} _{p}(t)}$, and made many other significant contributions to the field of Galois theory.

In 2012 he became a fellow of the American Mathematical Society.^[1]

Harbater's recent work on patching over fields, together with Julia Hartmann and Daniel Krashen, has had applications in such varied fields as quadratic forms, central simple algebras and local-global principles.

References[]

• Harbater, D. (1994). "Abhyankar's Conjecture on Galois Groups Over Curves". Invent. Math. 117 (1): 1–25. doi:10.1007/BF01232232. S2CID 121690794.

External links[]

• Recollections of Arthur Rothstein, (Math Teammate of Harbater)
• Cole Prize citation for David Harbater
• David Harbater at the Mathematics Genealogy Project
• Harbater's home page at Penn

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